A ladder of length 20.0m is carried by a fire truck. The ladder has a weight…

A ladder of length 20.0m is carried by a fire truck. The ladder has a weight of 3200N and its center of gravity is at its center. The ladder is pivoted at one end (A) about a pin (Figure 1) you can ignore the friction torque at the pin. The ladder is raised into position by a force applied by a hydraulic piston at C. Point C is a distance 8.0m from A, and the force F rightarrow exerted by the piston makes an angle of theta = 40 degree with the ladder. What magnitude must F rightarrow have to just lift the ladder off the support bracket at B?